A matrix which is obtained from an identity matrix by applying only one elementary transformation is

Scalar matrix and identity matrix

Every elementary row/column transformation of an mxn( not identity) can be obtained by pre-multiplication (post-multiplication) with the corresponding elementary matrix obtained from the identity matrix I_(m)(I_(n)) by subjecting it to the same elementary row(column) transformation.

questions on adjoint A || inverse OF matrix || elementary row transformation

" Which one is the identity matrix of order "2" "

Where are elementary on a matrix.

Elementary operations of a matrix

Show that the matrix [{:(3,1,4),(2,0,-1),(5,2,1):}] is non-singular and reduce it to the identiy matrix by elementary row transformations.